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Square Root of 40

The square root of 40 is 6.32455532 (rounded to 8 decimal places).

Answer

The square root of 40 is 6.32455532 (rounded to 8 decimal places).

It is not a perfect square, so the root is irrational. In simplest radical form, √40 = 2√10, because 40 = 4 × 10.

Estimate it by hand

40 lies between the perfect squares 36 (6²) and 49 (7²), so √40 is between 6 and 7. Our answer 6.32455532 fits that range.

How to find √40 on a scientific calculator

  1. Press the √ key (or type sqrt().
  2. Enter 40.
  3. Press = to get 6.32455532.

You can check it by squaring the result: 6.32455532² ≈ 40.

Quick results

√40= 6.32455532
6.32455532²= 40
∛40= 3.419952

Square roots near 40

NumberSquare rootNote
275.196152
285.291503
295.385165
305.477226
366perfect square
406.324555this page
497perfect square
507.071068

Frequently Asked Questions

What is the square root of 40?

The square root of 40 is 6.32455532 (rounded to 8 decimal places).

Is 40 a perfect square?

No. The nearest perfect squares are 36 and 49.

Is the square root of 40 rational or irrational?

Irrational. Its decimal never ends or repeats.

What is the cube root of 40?

The cube root of 40 is about 3.419952.

Is there an online scientific calculator I can use for this?

Yes. Use the calculator on this page, or open the full free Scientific Calculator with memory, history and keyboard support.

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